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X(105), X(291), X(1281), X(1282), X(1929), X(2108), X(8298), X(8299), X(8300), X(8301), X(8848), X(8849), X(8850), X(8851), X(8852), X(8853), X(8935), X(8936), X(8937), X(9472), X(16361), X(16363)

vertices of the 2nd Sharygin triangle

Geometric properties :

See K673 for explanations, also K132, K323 and K960, K962.

K961 is a weak cubic anharmonically equivalent to K131 as in Table 67.

K961 meets the sidelines of A2B2C2 again at A2', B2', C2' and the triangles ABC and A2'B2'C2' are perspective at X(8852).

A2B2C2 and A2'B2'C2' are also perspective at X(8300). It follows that K961 is a pK with pivot X(8300), isopivot X(1281) with respect to A2B2C2.

The isopivot of K961 with respect to ABC is X(9472).